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405800541 = 3245088949
BaseRepresentation
bin11000001100000…
…000011001011101
31001021120210200200
4120030000121131
51312341104131
6104133414113
713025150646
oct3014003135
91037523620
10405800541
11199077a53
12b3a9a339
13660c2883
143bc746cd
152595c2e6
hex1830065d

405800541 has 6 divisors (see below), whose sum is σ = 586156350. Its totient is φ = 270533688.

The previous prime is 405800519. The next prime is 405800543. The reversal of 405800541 is 145008504.

405800541 is a `hidden beast` number, since 40 + 5 + 80 + 0 + 541 = 666.

It can be written as a sum of positive squares in only one way, i.e., 276523641 + 129276900 = 16629^2 + 11370^2 .

It is not a de Polignac number, because 405800541 - 27 = 405800413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405800543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22544466 + ... + 22544483.

It is an arithmetic number, because the mean of its divisors is an integer number (97692725).

Almost surely, 2405800541 is an apocalyptic number.

It is an amenable number.

405800541 is a deficient number, since it is larger than the sum of its proper divisors (180355809).

405800541 is a wasteful number, since it uses less digits than its factorization.

405800541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45088955 (or 45088952 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 405800541 is about 20144.4915795857. The cubic root of 405800541 is about 740.3507838978.

The spelling of 405800541 in words is "four hundred five million, eight hundred thousand, five hundred forty-one".

Divisors: 1 3 9 45088949 135266847 405800541